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Finding the Fourth Proportional to 13,542.73, 20,317.41 and 4,658.20

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Solution

The fourth proportional to 13,542.73, 20,317.41 and 4,658.20 is: 6,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.73 : 20,317.41 = 4,658.20 : x
  2. Step 2: Convert to fraction form
    13,542.73/20,317.41 = 4,658.20/x
  3. Step 3: Cross multiply
    13,542.73x = 20,317.41 × 4,658.20
  4. Step 4: Simplify right side
    13,542.73x = 94,642,559.26
  5. Step 5: Solve for x
    x = 94,642,559.26/13,542.73
  6. Step 6: Final answer
    x = 6,988.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.